Pith Number

pith:ZAQLEEH4

pith:2015:ZAQLEEH42CPNQZUYIGEOOB3YVS

not attested not anchored not stored refs pending

Scattering for the two-dimensional NLS with (full) exponential nonlinearity

Alexander Adam Azzam

arxiv:1511.03386 v1 · 2015-11-11 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAQLEEH42CPNQZUYIGEOOB3YVS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:27:14.718433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c820b210fcd09ed866984188e70778acaa2ae65ff8c1d873999ac5cd9decf403

Aliases

arxiv: 1511.03386 · arxiv_version: 1511.03386v1 · doi: 10.48550/arxiv.1511.03386 · pith_short_12: ZAQLEEH42CPN · pith_short_16: ZAQLEEH42CPNQZUY · pith_short_8: ZAQLEEH4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZAQLEEH42CPNQZUYIGEOOB3YVS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c820b210fcd09ed866984188e70778acaa2ae65ff8c1d873999ac5cd9decf403

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0632120da55ea1abee35846dfaef394e468cc59dc81e87f5aa4222e5a4a825be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-11T04:34:49Z",
    "title_canon_sha256": "6dcef42815063b7bf4f91f75a99104de927a381180546c01cd0147e4f1e51eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03386",
    "kind": "arxiv",
    "version": 1
  }
}